Algebra Examples

$(x - 3) (6 x - 2)$

Step 1

Expand $(x - 3) (6 x - 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (6 x - 2) - 3 (6 x - 2)$

Step 1.2

Apply the distributive property.

$x (6 x) + x \cdot - 2 - 3 (6 x - 2)$

Step 1.3

Apply the distributive property.

$x (6 x) + x \cdot - 2 - 3 (6 x) - 3 \cdot - 2$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite using the commutative property of multiplication.

$6 x \cdot x + x \cdot - 2 - 3 (6 x) - 3 \cdot - 2$

Step 2.1.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.2.1

Move $x$ .

$6 (x \cdot x) + x \cdot - 2 - 3 (6 x) - 3 \cdot - 2$

Step 2.1.2.2

Multiply $x$ by $x$ .

$6 x^{2} + x \cdot - 2 - 3 (6 x) - 3 \cdot - 2$

Step 2.1.3

Move $- 2$ to the left of $x$ .

$6 x^{2} - 2 \cdot x - 3 (6 x) - 3 \cdot - 2$

Step 2.1.4

Multiply $6$ by $- 3$ .

$6 x^{2} - 2 x - 18 x - 3 \cdot - 2$

Step 2.1.5

Multiply $- 3$ by $- 2$ .

$6 x^{2} - 2 x - 18 x + 6$

Step 2.2

Subtract $18 x$ from $- 2 x$ .

$6 x^{2} - 20 x + 6$